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Finding the Fourth Proportional to 2,680.98, 3,697.32 and 1,797.94

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Solution

The fourth proportional to 2,680.98, 3,697.32 and 1,797.94 is: 2,479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.98 : 3,697.32 = 1,797.94 : x
  2. Step 2: Convert to fraction form
    2,680.98/3,697.32 = 1,797.94/x
  3. Step 3: Cross multiply
    2,680.98x = 3,697.32 × 1,797.94
  4. Step 4: Simplify right side
    2,680.98x = 6,647,559.52
  5. Step 5: Solve for x
    x = 6,647,559.52/2,680.98
  6. Step 6: Final answer
    x = 2,479.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.